{"id":"https://openalex.org/W79367453","doi":null,"title":"Elastic finite difference modelling with stability and dispersion corrections","display_name":"Elastic finite difference modelling with stability and dispersion corrections","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W79367453","mag":"79367453"},"language":"en","primary_location":{"id":"mag:79367453","doi":null,"is_oa":false,"landing_page_url":"https://cseg.ca/assets/files/resources/abstracts/2001/071-Elastic_finite_difference_modelling.pdf","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},"volume":null,"type":"article","indexed_in":[],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5072113920","display_name":"Peter M. Manning","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Peter M. Manning","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5020756135","display_name":"Gary F. Margrav\u00e9","orcid":"https://orcid.org/0000-0003-2255-8120","observed_orcids":["https://orcid.org/0000-0003-2255-8120"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gary F. Margrav\u00e9","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-2255-8120","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00758586,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10271","display_name":"Seismic Imaging and Inversion Techniques","score":0.9897000193595886,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10271","display_name":"Seismic Imaging and Inversion Techniques","score":0.9897000193595886,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11757","display_name":"Seismic Waves and Analysis","score":0.00419999985024333,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.0019000000320374966,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/elastic-wave-propagation","display_name":"elastic wave propagation","score":0.7540000081062317},{"id":"https://openalex.org/keywords/finite-difference-simulation","display_name":"finite difference simulation","score":0.8970000147819519},{"id":"https://openalex.org/keywords/dispersion-correction","display_name":"dispersion correction","score":0.8029999732971191},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"numerical stability","score":0.7509999871253967},{"id":"https://openalex.org/keywords/von-neumann-stability-analysis","display_name":"von Neumann stability analysis","score":0.8880000114440918},{"id":"https://openalex.org/keywords/correction-factors","display_name":"correction factors","score":0.7129999995231628},{"id":"https://openalex.org/keywords/sinc-function","display_name":"sinc function","score":0.7739999890327454},{"id":"https://openalex.org/keywords/spatial-filtering","display_name":"spatial filtering","score":0.6729999780654907},{"id":"https://openalex.org/keywords/p-wave-and-s-wave-velocities","display_name":"P-wave and S-wave velocities","score":0.8050000071525574}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6618244647979736},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.6253232955932617},{"id":"https://openalex.org/C121130766","wikidata":"https://www.wikidata.org/wiki/Q192510","display_name":"Wavenumber","level":2,"score":0.618710458278656},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5996877551078796},{"id":"https://openalex.org/C152303783","wikidata":"https://www.wikidata.org/wiki/Q855949","display_name":"Sinc function","level":2,"score":0.5728963613510132},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5661841630935669},{"id":"https://openalex.org/C177562468","wikidata":"https://www.wikidata.org/wiki/Q182893","display_name":"Dispersion (optics)","level":2,"score":0.554142951965332},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.5276333689689636},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.49677592515945435},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.4715442955493927},{"id":"https://openalex.org/C202579712","wikidata":"https://www.wikidata.org/wiki/Q590051","display_name":"Dispersion relation","level":2,"score":0.44541552662849426},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.41994017362594604},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36314475536346436},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2748846411705017},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.18918496370315552},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.1132870614528656},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:79367453","doi":null,"is_oa":false,"landing_page_url":"https://cseg.ca/assets/files/resources/abstracts/2001/071-Elastic_finite_difference_modelling.pdf","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":2,"referenced_works":["https://openalex.org/W1579868249","https://openalex.org/W2170120409"],"related_works":["https://openalex.org/W2022210058","https://openalex.org/W3050819008","https://openalex.org/W2142295280","https://openalex.org/W2025507604","https://openalex.org/W2036384066","https://openalex.org/W1966028187","https://openalex.org/W3124136086","https://openalex.org/W2133127063","https://openalex.org/W2212785066","https://openalex.org/W2177388738"],"abstract_inverted_index":{"SUMMARY":[0],"This":[1,131],"paper":[2],"presents":[3],"a":[4,35,64,69,74,151],"general":[5],"method":[6,22],"to":[7,63,122,136],"limit":[8],"the":[9,29,44,48,58,85,97,133],"dispersion":[10,155],"and":[11,52,81,106,127,156],"instability":[12],"inherent":[13],"within":[14],"finite-difference":[15,65],"elastic":[16,49,98],"modelling":[17],"in":[18,47],"two":[19],"dimensions.":[20],"The":[21,116],"is":[23,41,61,73],"based":[24],"on":[25,79],"an":[26,38,93],"extension":[27],"of":[28,96,154],"Von":[30],"Neumann":[31],"stability":[32],"analysis.":[33],"For":[34],"fixed":[36],"frequency":[37,80,114,117],"analytic":[39],"relationship":[40],"derived":[42],"between":[43],"continuous":[45,59,86],"derivatives":[46,87],"wave":[50,99,129],"equation":[51,100],"their":[53],"second-order":[54],"finitedifference":[55],"approximations.":[56],"Typically,":[57],"derivative":[60],"equal":[62],"result":[66],"divided":[67],"by":[68,90],"correction":[70,107,110,134,147],"factor":[71],"that":[72,102,145],"squared":[75],"sinc":[76],"function":[77],"dependant":[78],"grid":[82],"size.":[83],"When":[84],"are":[88,112],"replaced":[89],"these":[91,146],"expressions,":[92],"exact":[94],"formulation":[95],"results":[101],"involves":[103],"finite":[104],"differences":[105],"factors.":[108],"These":[109],"factors":[111,135,148],"all":[113],"dependent.":[115],"dependence":[118,124],"can":[119],"be":[120,137],"converted":[121],"wavenumber":[123],"using":[125],"P":[126],"S":[128],"velocities.":[130],"allows":[132],"applied":[138],"as":[139],"spatial":[140],"filters.":[141],"Numerical":[142],"tests":[143],"show":[144],"compensate":[149],"for":[150],"wide":[152],"range":[153],"instability.":[157]},"counts_by_year":[],"updated_date":"2025-11-06T04:12:42.849631","created_date":"2016-06-24T00:00:00"}